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Finding the Third Proportional to 11,856.38 and 25,839

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Solution

The third proportional to 11,856.38 and 25,839 is: 56,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.38 : 25,839 = 25,839 : x
  2. Step 2: Convert to fraction form
    11,856.38/25,839 = 25,839/x
  3. Step 3: Cross multiply
    11,856.38x = 25,839 × 25,839
  4. Step 4: Simplify right side
    11,856.38x = 667,653,921
  5. Step 5: Solve for x
    x = 667,653,921/11,856.38
  6. Step 6: Final answer
    x = 56,311.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.